A delay-dependent anti-windup compensator for wide-area power systems with time-varying delays and actuator saturation
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"A delay-dependent anti-windup compe..." refers background or methods in this paper
..., the free-weighting matrix method [23] and integral inequalities [26]–[30]) have been proposed to deal with the integral terms....
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...Remark 4: Many new integral inequalities (such as Wirtinger-based inequality [27], Free-matrix-based integral inequality [28], auxiliary function-based inequality [29], and Bessel-Legendre inequality [30]) are developed by introducing more terms to reduce the estimation gap of the Jensen integral inequality....
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"A delay-dependent anti-windup compe..." refers background or methods in this paper
...L ∈ Rn×n,L = LT ≥ 0 τM ≥ τm ≥ 0 χ̇ : [−τM ,−τm]→ Rn×n Lemma 1 (Jensen’s inequality) [26]: For any constant matrix , two scalars , and vector function such that the following integration is well defined, it holds that:...
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...To deal with the integral terms and of the LKF, one of the integral inequalities (Jensen’s inequality [26]) and the reciprocally convex approach [31] is used in order to reduce the complexity of the controller design by involving a lower number of decision matrix variables....
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..., the free-weighting matrix method [23] and integral inequalities [26]–[30]) have been proposed to deal with the integral terms....
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...Due to the simple LKF (25), in this work, we chose the Jensen integral inequality [26] out of the aforementioned integral inequalities....
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1,102 citations
"A delay-dependent anti-windup compe..." refers background in this paper
...Various WADC design techniques are reported in the literature to guarantee the stability of the system by compensating the effect of time-delays [6]–[10]....
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...In the literature, substantial research has been undertaken to model and study the effect of time-varying delays on power system stability ([6]–[10], and references therein), but very few works have been reported on the effect of actuator saturation on power system stability [17]–[21]....
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...r 0 τM r t t+θ η̇ T (s)Zη̇(s)dsdθ τM η̇(t)Zη(t)− r t t−τ(t) η̇ T (s)Zη̇(s)ds r t−τ(t) t−τM η̇ T (s)Zη̇(s)ds r t−τ(t) t−τM η̇ T (s)Zη̇(s)ds Remark 3: In [8], [10], [22], the derivative of is often estimated as and the term is ignored, which leads to conservative estimation of the delay upper bound....
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861 citations
"A delay-dependent anti-windup compe..." refers background in this paper
...In the direct approach, the actuator saturation is considered at the beginning of control design [14], [15]....
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